The Wigner Branching Random Walk: Efficient Implementation and Performance Evaluation

DOI10.4208/CICP.OA-2018-0141zbMath1476.60159arXiv1709.02121WikidataQ128469269 ScholiaQ128469269MaRDI QIDQ5161388

Yunfeng Xiong, Sihong Shao

Publication date: 29 October 2021

Published in: Communications in Computational Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1709.02121

zbMATH Keywords

importance samplingresamplingMonte Carlo methodWigner equationquantum dynamicsbranching random walkbootstrappingparticle reductionsigned particleweighted particle

Mathematics Subject Classification ID

Sums of independent random variables; random walks (60G50) Integro-partial differential equations (45K05) Applications of branching processes (60J85) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Many-body theory; quantum Hall effect (81V70) Quantum dynamics and nonequilibrium statistical mechanics (general) (82C10) Phase-space methods including Wigner distributions, etc. applied to problems in quantum mechanics (81S30) Probabilistic methods, particle methods, etc. for initial value and initial-boundary value problems involving PDEs (65M75)

Related Items (1)

Branching Random Walk Solutions to the Wigner Equation

Uses Software

• ElemStatLearn

Cites Work

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